6978 ÷ 9 = 775 R3
Alright, let's work through the division of 6978 by 9 step by step.

Step 1:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 9

Step 2:
9 goes into 69 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 69 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 9

Step 3:
9 goes into 67 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 77
Subtract 63 from 67 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 9

Step 4:
9 goes into 48 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 775
Subtract 45 from 48 to get 3.

The final result is 775 with a remainder of 3.